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126566048 = 2573715271
BaseRepresentation
bin1111000101100…
…11111010100000
322211011012222102
413202303322200
5224400103143
620320425532
73064536140
oct742637240
9284135872
10126566048
1165496a44
12364782a8
13202b576b
1412b48920
15b1a10b8
hex78b3ea0

126566048 has 48 divisors (see below), whose sum is σ = 292489344. Its totient is φ = 52773120.

The previous prime is 126566039. The next prime is 126566051. The reversal of 126566048 is 840665621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 653 + ... + 15923.

It is an arithmetic number, because the mean of its divisors is an integer number (6093528).

Almost surely, 2126566048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126566048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146244672).

126566048 is an abundant number, since it is smaller than the sum of its proper divisors (165923296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126566048 is a wasteful number, since it uses less digits than its factorization.

126566048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15325 (or 15317 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 126566048 is about 11250.1576877838. The cubic root of 126566048 is about 502.0794041684.

The spelling of 126566048 in words is "one hundred twenty-six million, five hundred sixty-six thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 1036 1184 2072 4144 8288 15271 30542 61084 106897 122168 213794 244336 427588 488672 565027 855176 1130054 1710352 2260108 3420704 3955189 4520216 7910378 9040432 15820756 18080864 31641512 63283024 126566048